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Article: Patched-tube unitary transform for robust tensor completion

TitlePatched-tube unitary transform for robust tensor completion
Authors
KeywordsUnitary transform
Patched-tubes
Robust tensor completion
Transformed tensor singular value decomposition
Issue Date2020
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/pr
Citation
Pattern Recognition, 2020, v. 100, p. article no. 107181 How to Cite?
AbstractThe aim of the robust tensor completion problem for third-order tensors is to recover a low-rank tensor from incomplete and/or corrupted observations. In this paper, we develop a patched-tubes unitary transform method for robust tensor completion. The proposed method is to extract similar patched-tubes to form a third-order sub-tensor, and then a transformed tensor singular value decomposition is employed to recover such low-rank incomplete and/or corrupted sub-tensor. Here the unitary transform matrix for transformed tensor singular value decomposition is constructed by using left singular vectors of the unfolding matrix arising from such sub-tensor. Moreover, we establish the perturbation results of the transformed tensor singular value decomposition for patched-tubes tensor completion. Extensive numerical experiments on hyperspectral, video and face data sets are presented to demonstrate the superior performance of the proposed patched-tubes unitary transform method over testing state-of-the-art robust tensor completion methods.
Persistent Identifierhttp://hdl.handle.net/10722/288097
ISSN
2019 Impact Factor: 7.196
2015 SCImago Journal Rankings: 2.051
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorNg, MK-
dc.contributor.authorZhang, X-
dc.contributor.authorZhao, XL-
dc.date.accessioned2020-10-05T12:07:49Z-
dc.date.available2020-10-05T12:07:49Z-
dc.date.issued2020-
dc.identifier.citationPattern Recognition, 2020, v. 100, p. article no. 107181-
dc.identifier.issn0031-3203-
dc.identifier.urihttp://hdl.handle.net/10722/288097-
dc.description.abstractThe aim of the robust tensor completion problem for third-order tensors is to recover a low-rank tensor from incomplete and/or corrupted observations. In this paper, we develop a patched-tubes unitary transform method for robust tensor completion. The proposed method is to extract similar patched-tubes to form a third-order sub-tensor, and then a transformed tensor singular value decomposition is employed to recover such low-rank incomplete and/or corrupted sub-tensor. Here the unitary transform matrix for transformed tensor singular value decomposition is constructed by using left singular vectors of the unfolding matrix arising from such sub-tensor. Moreover, we establish the perturbation results of the transformed tensor singular value decomposition for patched-tubes tensor completion. Extensive numerical experiments on hyperspectral, video and face data sets are presented to demonstrate the superior performance of the proposed patched-tubes unitary transform method over testing state-of-the-art robust tensor completion methods.-
dc.languageeng-
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/pr-
dc.relation.ispartofPattern Recognition-
dc.subjectUnitary transform-
dc.subjectPatched-tubes-
dc.subjectRobust tensor completion-
dc.subjectTransformed tensor singular value decomposition-
dc.titlePatched-tube unitary transform for robust tensor completion-
dc.typeArticle-
dc.identifier.emailNg, MK: michael.ng@hku.hk-
dc.identifier.authorityNg, MK=rp02578-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.patcog.2019.107181-
dc.identifier.scopuseid_2-s2.0-85077066041-
dc.identifier.hkuros315735-
dc.identifier.volume100-
dc.identifier.spagearticle no. 107181-
dc.identifier.epagearticle no. 107181-
dc.identifier.isiWOS:000533530800062-
dc.publisher.placeNetherlands-
dc.identifier.issnl0031-3203-

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